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Finding the Fourth Proportional to 12,238.44, 18,362.78 and 6,084.20

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Solution

The fourth proportional to 12,238.44, 18,362.78 and 6,084.20 is: 9,128.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,238.44 : 18,362.78 = 6,084.20 : x
  2. Step 2: Convert to fraction form
    12,238.44/18,362.78 = 6,084.20/x
  3. Step 3: Cross multiply
    12,238.44x = 18,362.78 × 6,084.20
  4. Step 4: Simplify right side
    12,238.44x = 111,722,826.08
  5. Step 5: Solve for x
    x = 111,722,826.08/12,238.44
  6. Step 6: Final answer
    x = 9,128.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.